What is the surface area of the prism?

Answer:

[tex]x=26.67[/tex]

Step-by-step explanation:

From the question we are told that:

Height of Pole [tex]h_p=15 foot[/tex]

Height of Man [tex]h_m =6ft[/tex]

Distance from Pole [tex]d_p=40ft[/tex]

Generally the equation for similar Property is mathematically given by

[tex]\frac{h_p}{h_m}=\frac{d_p+x}{x}[/tex]

[tex]x=\frac{h_m*(d_p+x)}{h_p}[/tex]

[tex]x=\frac{6*(40+x)}{15}[/tex]

[tex]x=\frac{240+6x}{15}[/tex]

[tex]x=16+0.4x\\x-0.4x=16[/tex]

[tex]x=16\0.6[/tex]

[tex]x=26.67[/tex]

Answer:

B.) 1/15

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

2b = b+24

2b-b = 24

b = 24

Answer:

sample mean (x with the bar on top) =24

Step-by-step explanation:

Take the mean of all the number of employees but divide by the number of days size: (25+10+16...)/12=25

population mean (mu) =11.52

The same goes for the other one but divide by the population which is 25

Answer:

its -4.5??? what is the question you're asking

Answer:

tan 0 = -2.4

sin 0 = 0.42

Step-by-step explanation:

sec 0 = -13/12 => cos 0 = -12/13

cot 0 < 0 => tan 0 < 0

so, the angle is on second quadrant

=> tan 0 = -12/5 = -2.4

=> sin 0 = 5/12 = 0.42

Answer:

Solution given;

Sec θ=-[tex]\frac{13}{12}[/tex]

cotθ< 0,

It lies in second quadrant.

where sin and cosec is positive.

Now

[tex] \frac{1}{cosθ}=-\frac{13}{12}[/tex]

cosθ=[tex]\frac{12}{13}[/tex]

[tex]\frac{b}{h}[/tex]=[tex]\frac{12}{13}[/tex]

b=12

h=13

By using Pythagoras law

p=[tex] \sqrt{13²-12²}=5 [/tex]

Now

exact values of tan θ=[tex]\frac{p}{b}[/tex]=[tex]\frac{5}{12}[/tex]

since it lies in II quadrant

tan θ=-[tex]\frac{5}{12}[/tex]

and

sinθ=[tex]\frac{p}{h}[/tex]=[tex]\frac{5}{13}[/tex]

since it lies in II quadrant

sin θ=[tex]\frac{5}{13}[/tex]

Answer:

6

Step-by-step explanation:

Y=-x+7

Y=-1+7

Y=6

Answer:

p = 10.8

Step-by-step explanation:

Given that p is directly proportional to (p-1)² and p is always positive, then;

q = k (p-1)²

If q = 30 and p = 7

30 = k(7-1)²

30 = 6²k

30 = 36k

5 = 6k

k = 5/6

To get p when q = 80

q =k (p-1)²

80 = 5/6((p-1)²

480 = 5(p-1)²

480/5 = (p-1)²

(p-1)² = 96

p-1 = √96

p-1 = 9.8

p = 9.8 + 1

p = 10.8

B) 6

Ch 10.82

9514 1404 393

Answer:

  time 33

Step-by-step explanation:

The first customer arrives at time 3, and is finished being served at time 3+7 = 10.

The second customer arrives at time 6, so waits until time 10 to be served. The second customer is finished being served at time 10+9 = 19.

The third and fourth customers arrive at times 15 and 17. The third customer waits until time 19 to be served, and is finished being served at time 19+6 = 25.

The fourth customer waits until time 25 to be served, and is finished being served at time 25+8 = 33.

The fourth customer leaves at time 33.

Answer:

We know that 3 l 3 = 3.3, so the values of the stem and leaf plot would be;

4 l 8, 9

5 l 1, 6, 8, 8, 9

6 l 8, 9, 9, 9, 9

7 l 0, 2, 2, 2, 5, 5

8 l 0, 9

Hope this helps!

Answer:

equilateral triangle

Step-by-step explanation:

equilateral triangle

A triangle: An equilateral triangle is a regular polygon with three equal side lengths and three equal angles.

Answer:

x=9

Step-by-step explanation:

Answer:

x = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

3x + 2 = 17

Step 2: Solve for x

Answer:

you subtract two both side, then divide three both side, you'll get x = 5.

Step-by-step explanation:

3x + 2 = 17

(3x + 2) -2 = (17) -2. First, you subtract 2 for both sides

3x = 15

(3x)/2 = (15)/2. Second, you divide 3 both side

x = 5. Last, you get your answer

Answer:

Step-by-step explanation:

The new equation will be

y = abs(x) + 3

I have made a graph to show you this.

The red graph is y = abs(x)

The blue graph is y = abs(x) + 3

You need only look at the point 0,0 to see what happened. On the red graph (0,0) is the lowest point. When you add 3 to get the lowest point, you should notice that the lowest point is now (0,3)

Answer:

The number of situps is: 16.4405

Step-by-step explanation:

Given

[tex]y = ax + b[/tex]

[tex]a =-1.077[/tex]

[tex]b=30.98[/tex]

[tex]r^2 = 0.74476[/tex]

Required

Predict y when [tex]x = 13.5[/tex]

In the result, we have:

[tex]y = ax + b[/tex]

[tex]a =-1.077[/tex]

[tex]b=30.98[/tex]

This implies that:

[tex]y = -1.077x + 30.98[/tex]

To make prediction when [tex]x = 13.5[/tex]

We have:

[tex]y = -1.077*13.5 + 30.98[/tex]

[tex]y = -14.5395 + 30.98[/tex]

[tex]y = 16.4405[/tex]

Answer:Profit Percent =5%

Step-by-step explanation:

Profit Percent is calculated as =Profit / Cost price x 100

Given that Profit=rs 5

Cost price =rs 100

Profit Percent =rs 5/rs 100 x 100

Profit Percent =5%

Answer:

the common difference is 10

Answer:

The 98% confidence interval for the mean of the population is (59, 68.2).

Step-by-step explanation:

Before building the confidence interval, we need to find the sample mean and the sample standard deviation.

Sample mean:

[tex]\overline{x} = \frac{55+64+58+61+69+64+59+69+72+65}{10} = 63.6[/tex]

Sample standard deviation:

[tex]s = \sqrt{\frac{(55-63.6)^2+(64-63.6)^2+(58-63.6)^2+(61-63.6)^2+(69-63.6)^2+(64-63.6)^2+(59-63.6)^2+(69-63.6)^2+(72-63.6)^2+(65-63.6)^2}{10}} = 5.142[/tex]

Confidence interval:

We have the standard deviation for the sample, and thus, we use the t-distribution.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.821

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.821\frac{5.142}{\sqrt{10}} = 4.6[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 63.6 - 4.6 = 59

The upper end of the interval is the sample mean added to M. So it is 63.6 + 4.6 = 68.2.

The 98% confidence interval for the mean of the population is (59, 68.2).

Answer:

1.875

Step-by-step explanation:

The rate of change is the derivative of the function.

[tex]f(x) = \frac{10}{x-4}\\\\f'(x)=10\times \frac {d}{dx}\frac{1}{x-4}\\\\f'(x)=\frac{-10}{(x-4)^{2}}\\\\f'(2) = \frac{-10}{(2-4)^{2}} =-2.5\\\\f'(8)= \frac{-10}{(8-4)^{2}} =-0.625\\[/tex]

So, the rate of change is

f'(8) -  f'(2) = - 0.625 + 2.5 = 1.875

Answer:

d equal 10 this is the answer

Answer:

M =6

Step-by-step explanation:

T2/T1=T3/T2

M/4=9/m

M^2=36

M=+ or - 6

As m is continued ignore - 6

Then get m =6

Answer:

-9x+3

Step-by-step explanation:

See the steps below:)

Answer:

Hi there! Subscribe to my animations Y0UTUBE channel! Channel name: Let Me Explain Studios. Have a nice day!

Step-by-step explanation:

Answer:

Step-by-step explanation:

365 x 24 = 8,760

365 x 6 = 2,190

8,760 - 2,190 = 6,570

6,570 / 24 = 273 3/4

The person sleeps 91 (1/4) days per year.

Multiplication is the process of adding a number up to a given number.

Given that, the person sleeps 6 hours a day.

The total hours of sleeping over a year are:

365 × 6

= 2190 hours per year

Since there are 24 hours in a day, divide 2190 by 24 to get the answer in days per hour:

2190/24

= 91 (1/4)

Hence, the person sleeps 91 (1/4) days per year.

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The test statistic is 1.145 for the appropriate test to investigate whether there is a difference in population means.

A test statistic is a numerical value calculated from sample data in hypothesis testing.

Given that

Sample 1: Store M

Sample size, [tex]n_1[/tex] = 35,

Sample mean, [tex]\bar{X_1}[/tex] = 300,

Standard deviation, [tex]s_1[/tex] = 40.

Sample 2: Store V

Sample size, [tex]n_2[/tex] = 40,

Sample mean, [tex]\bar{X_2}[/tex] = 290,

Standard deviation, [tex]s_2[/tex] = 35.

The null hypothesis, [tex]H_o[/tex] : there is no difference in population means, i.e.,

[tex]\mu_1 =\mu_2[/tex].

The alternate hypothesis, [tex]H_1[/tex] : there is a significant difference in population means, i.e.,

[tex]\mu_1 \neq\mu_2[/tex].

Under the null hypothesis, the test statistic is

[tex]t = \dfrac{\bar{X_1}-\bar{X_2}}{\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2} }}[/tex]

  [tex]= \dfrac{300-290}{\sqrt{\frac{40^2}{35}+\frac{35^2}{40} }}\\=\dfrac{10}{\sqrt{\frac{1600}{35}+\frac{1225}{40} }} \\=\dfrac{10}{\sqrt{45.714+30.625 }} \\=\dfrac{10}{\sqrt{76.339 }}\\=\dfrac{10}{8.737}\\=1.145[/tex]

Hence the test statistic is 1.145.

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Answer:

A and E

Step-by-step explanation:

B and D is unchangeable, species of bears and types of vegetables that existed in the world never changed.

C only consist of one data, temperature of Chicago at noon yesterday only.